Structural Beam Bending Equations / Calculation Supported on Both Ends With Overhanging Supports of equal Length and Uniform Loading

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Stress between nearest support point and outer end 

Stress between the two supports


Stress at load center

Stress at supports


Deflection between support point and outer end

Deflection between supports


Deflection at the ends

Deflection at center

 


Where:

E = Modulus of Elasticity psi

(N/m2)

I = Moment of Inertia in4 (m4)
W =   Load lbs (N)
s =  Stress at the cross-section being evaluated Lbs/in2 (N/m2)
y = Deflection inches (m)
x = Some distance as indicated inches (m)
u = Some distance as indicated inches (m)
c = Some distance as indicated inches (m)
L = Some distance as indicated inches (m)
l = Some distance as indicated inches (m)
Z = section modulus of the cross-section of the beam    
Z = I ÷ distance from neutral axis to extreme fiber (edge)    

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